On oscillatory symmetric motions in the three-body problem

We study a special case of the three-body problem where two of the bodies are the same mass and there is a manifold of symmetrical motions. We consider sufficient conditions of nonexistence of oscillating symmetric motions. To analyze stability, we substantially rely on the structure of the manifold...

Full description

Saved in:
Bibliographic Details
Date:2017
Main Authors: Sosnitsky, S. P., Сосницкий, С. П., Сосницький, С. П.
Format: Article
Language:Ukrainian
Published: Інститут математики НАН України 2017
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/58
Tags: Add Tag
No Tags, Be the first to tag this record!
Journal Title:Transactions of Institute of Mathematics of NAS of Ukraine
Download file: Pdf

Institution

Transactions of Institute of Mathematics of NAS of Ukraine